Cuboid Surface Area Show Me This activity is

Cuboid – Surface Area – Show Me This activity is designed to facilitate discussion, there are no answers. Students should be able to justify their answers within pairs, or to the teacher. Students could answer using mini-whiteboards or paper.

… the smallest possible surface area for a cuboid with integer dimensions. no need to draw accurately!

… a cube with a surface area greater than 150 cm 2. no need to draw accurately!

… a cube with a surface area smaller than 100 m 2. no need to draw accurately!

… a cube with a surface area as close to 500 cm 2 as possible. no need to draw accurately!

… a cuboid with a surface area smaller than 200 cm 2. no need to draw accurately!

… a cuboid with a surface area greater than 250 cm 2. no need to draw accurately!

… the surface area of a cuboid with a volume of 36 cm 3. no need to draw accurately!

… the surface area of a cuboid with a volume of 120 m 3. no need to draw accurately!

… the surface area of an open-topped cuboid. no need to draw accurately!

… the surface area of a cuboid where one 2 face has an area of 24 cm. no need to draw accurately!

… the surface area of a cuboid where the areas of 2 of the faces are in the ratio 1: 2 no need to draw accurately!

… the surface area of a cuboid where the areas of 2 of the faces are in the ratio 5: 3 no need to draw accurately!

… a formula to calculate the surface area of any cuboid. no need to draw accurately!

… the surface area of two identical cuboids placed next to each other. no need to draw accurately!

… 2 cuboids where one has double the surface area of the other. no need to draw accurately!

… 2 cuboids with different dimensions but the same surface area. no need to draw accurately!

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths. co. uk